Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/82,37/29,29/351,405/341
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2,37,29,405
Greatest Common Factor of Numerators i.e. GCF of 2,37,29,405 is 1 .
LCM of Denominators means LCM of 82,29,351,341 as per the given fractions.
LCM of 82,29,351,341 is 284625198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,37,29,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 2,37,29,405 . The biggest common factor number is the GCF number.
So the greatest common factor 2,37,29,405 is 1.
Lets's calculate LCM of 82,29,351,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 284625198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284625198
Therefore, the GCF of Fractions 2/82,37/29,29/351,405/341 is 1/284625198
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 82,29,351,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,29,351,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,29,351,341) x common factors =1 x 1 = 1
LCM(82,29,351,341) = ( 82 × 29 × 351 × 341 ) / 1
LCM(82,29,351,341) = 284625198 / 1
LCM(82,29,351,341) = 284625198
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2/82, 37/29, 29/351, 405/341?
Answer: GCF of Numerators as per given numbers 2/82, 37/29, 29/351, 405/341 is
GCF of Numerators i.e. for 2,37,29,405 is 1
LCM of denominators i.e. for 82,29,351,341 is 284625198.
Thus, GCF of Fractions is 1/284625198.Finally, GCF of Fractions for 2/82, 37/29, 29/351, 405/341 is 1/284625198.